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Finding the Fourth Proportional to 5,979.20, 8,969.30 and 2,232

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Solution

The fourth proportional to 5,979.20, 8,969.30 and 2,232 is: 3,348.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,979.20 : 8,969.30 = 2,232 : x
  2. Step 2: Convert to fraction form
    5,979.20/8,969.30 = 2,232/x
  3. Step 3: Cross multiply
    5,979.20x = 8,969.30 × 2,232
  4. Step 4: Simplify right side
    5,979.20x = 20,019,466.44
  5. Step 5: Solve for x
    x = 20,019,466.44/5,979.20
  6. Step 6: Final answer
    x = 3,348.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.